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Aliun [14]
3 years ago
7

What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 +

8x − 14 D. f(x) = x2 + 4x − 30
Mathematics
2 answers:
Leona [35]3 years ago
8 0

Answer:

C. f(x) = -x² + 8x − 14

Step-by-step explanation:

Just took the test

Scilla [17]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

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Solve for x. Round to the nearest tenth, if necessary.
Sphinxa [80]

Answer:

2.8

Step-by-step explanation:

tan = opposite / adjacent

( opposite = side opposite of the angle and adjacent = side length that is not the opposite nor the hypotenuse ( longest side ) )

we are given an angle, ∠E = 26°

tanE = x / 5.7

tan26 = x / 5.7

==> multiply both sides by 5.7

5.7tan26 = x

==> simplify

x = 2.8 ( rounded )

3 0
2 years ago
David ate 80 blueberries in one hour. How many did he eat in fifteen minutes?
Firlakuza [10]

All we have to do is divide how many blueberries he ate in an hour (80) by how many times 15 minutes is in 1 hour (4)

80 ÷ 4 = 20

We can check our work by multiplying 20 by 4

20 x 4 = 80

Therefore, David ate 20 blueberries in 15 minutes


Hope this helps you!

Always remember you are a Work Of Art!

- Nicole :) <3

8 0
3 years ago
Read 2 more answers
Here's a graph of a linear function. Write the
bazaltina [42]

Answer:

Step-by-step explanation:

The formula is y = mx + b

m being the slope, rise over run. And b being the y-intercept. Right off the bat we can visually see the y-intercept is -4.

To find slope, we need to take two sets of coords and apply the slope fomula. The slope fomula is change in y divided by the change in x. The function itself is straight, so that means the slope will be the exact same no matter which points you choose.

(4, -1) and (8, 2) are coords on the line. Do 2 - (-1) to get 3. then do 8 - 4 to get 4. Finally, we just gotta do 3/4 which is simply \frac{3}{4}.

We have the slope of 3/4 and we have the y-intercept of -4. Just plug it in the standard formula of y = mx + b to get:

y=\frac{3}{4} x-4

5 0
3 years ago
X^2=4x-15 solve with Quadratic formula
bulgar [2K]

Answer:

x=2+i\sqrt{11}

x=2-i\sqrt{11}

Step-by-step explanation:

we have

x^{2} =4x-15 -------> x^{2}-4x+15=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-4x+15=0

so

a=1\\b=-4\\c=15

substitute in the formula

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(15)}} {2(1)}

x=\frac{4(+/-)\sqrt{16-60}} {2}

Remember that

i=\sqrt{-1}

x=\frac{4(+/-)\sqrt{-44}} {2}

x=\frac{4(+/-)2i\sqrt{11}} {2}

x=\frac{4(+)2i\sqrt{11}}{2}=2+i\sqrt{11}

x=\frac{4(-)2i\sqrt{11}}{2}=2-i\sqrt{11}

7 0
3 years ago
What goes in to 35 and 100?
dalvyx [7]
5 goes into both 35 and 100. But there are unlimited answers if you are being asked to find more than whole integers.
6 0
3 years ago
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